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On the Determination of Ruled and Developable Surfaces in Euclidean 3-space E³

Rashad A. Abdel-Baky, Fatemah Mofarreh

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Abstract

Depending on E. Study’s map, the method of determination of ruled and developable surfaces is introduced. We show that dual vectorial expression of ruled and developable surfaces will be gained from coordinates and the first derivatives of the base curve. We illustrated this method by giving some representative examples.

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Depending on E. Study’s map, the method of determination of ruled and developable surfaces is introduced. We show that dual vectorial expression of ruled and developable surfaces will be gained from coordinates and the first derivatives of the base curve. We illustrated this method by giving some representative examples.

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Available abstract

Depending on E. Study’s map, the method of determination of ruled and developable surfaces is introduced. We show that dual vectorial expression of ruled and developable surfaces will be gained from coordinates and the first derivatives of the base curve. We illustrated this method by giving some representative examples.

Key concepts: Developable surface, Ruled surface, Space (punctuation), Geometry, Base (topology), Euclidean geometry, Mathematics, Mathematical analysis

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